Mr Baker, who met Elisa on the internet and moved from Queensland to North Carolina with Zahra in 2008, has not been charged in relation to his daughter's murder or disappearance.

The new charges allege Mr Baker used another man's name and social security number to hook up the electricity at his family's rented home in Hickory, North Carolina, in July last year.

Mr Baker was charged last year with counts of writing worthless cheques, communicating threats and failure to return rental property and his lawyer indicated Mr Baker will fight the allegations at trial.